If scalar triple product of vectors ^i+^j+^k,3^i+4^j+5^k,7^i+2^j+11^k – InterviewSolution

1.	If scalar triple product of vectors ^i+^j+^k,3^i+4^j+5^k,7^i+2^j+11^k is given by the determinant ∣∣∣∣a1a2a3b1b2b3c1c2c3∣∣∣∣ then a1+b2+c3= __.
Answer» If scalar triple product of vectors $^i +^j +^k, 3^i + 4^j + 5^k, 7^i + 2^j + 11^k$ is given by the determinant $∣ ∣∣ ∣ \begin{matrix} a_{1} & a_{2} & a_{3} b_{1} & b_{2} & b_{3} c_{1} & c_{2} & c_{3} \end{matrix} ∣ ∣∣ ∣$ then $a_{1} + b_{2} + c_{3} =$ __.

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